lenagmat wrote:For any positive integer n, <n> denotes the remainder when 5n^2+1 is divided by 2. If m is a positive integer, what is the value of <m>?

1). m is even number.
2). m is divided by 5.

Please, could you say first of all the answer for very silly question - what this mean <n>, <m>,<>??
Because I did not understand the question at all.

answer is A.

lenagmat wrote:For any positive integer n, <n> denotes the remainder when 5n^2+1 is divided by 2. If m is a positive integer, what is the value of <m>?

1). m is even number.
2). m is divided by 5.Assuming the statement m is divided by 5 is the same as m is divisible by 5

<m> = Remainder of ((5*(m^2))+1 )/2 is 1 if m=even and is 0 if m =odd

from 1) m = even => remainder = 1 Sufficient
from 2) m = 5 or 10 or 15 => remainder can be 1 or 0 or 1.. Insufficient

Hence Option A

Please, could you say first of all the answer for very silly question - what this mean <n>, <m>,<>??
Because I did not understand the question at all.

When one says "Let D be the distance" or "Let X be the number", it is just his/her assumption. In the same way the author or the question-creator asked us to assume that <n> denotes the remainder when 5n^2+1 is divided by 2.